Reball only. If there was soldering issue from factory, pad is almost certainly oxidized. Simply melting solder likely won't even restore electrical contact, not to say form a reliable solder joint. Though if BGA is not large, you have steady hands and some skill, then you could remove the chip, tin oxidized pads if there are any and reflow with old solder balls while holding chip with tweezers. Thus saving time on reballing. Certainly exercise not for everyone, but can shorten repair 2-3 times.